17 - 2/3 as a fraction

Learn how to find what is 17 minus 2/3 in fraction form just in a few minutes. We have covered the easiest method to write 17 - 2/3 as a fraction and decimal.

Summary: 17 minus 2/3 = 49/3
Since both fractions have unequal denominators, 17 minus 2/3 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17 and fraction 2/3 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 3. 3 is the LCM of 1 and 3. Multiplying the LCM 3 with the numerators and denominators of both fractions (17 x 3/3) - (2/3 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 17 is 51/3 and for 2/3 is 2/3. By simplifying this fraction subtraction 51/3 - 2/3, it becomes 49/3.

CALCULATION: 17 - 2/3 as a fraction
17 - 2/3 = (?)
17/1 - 2/3 = [(17 x 3) - (2 x 1)]/(1 x 3)
= (51 - 2)/3
= 49/3
17 - 2/3 = 49/3
17 minus 2/3 as a fraction is 49/3.

where
17 is a whole number as a minuend,
2/3 is a proper fraction as a subtrahend,
49/3 is the difference between 17 and 2/3.

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17 minus 2/3 as a decimal
17 - 2/3 = 49/3
49/3 = 16.3333
(17) - (2/3) as a decimal is 16.3333

where
16.3333 is the difference between 17 and 2/3.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/3 from 17. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17 minus 2/3.
1. LCM method
2. Cross multiplication method.

(17) - (2/3) using LCM Method:
What is 17 minus 2/3 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/1
Fraction B: 2/3

What to be found?
(17) - (2/3) = ?
Find what's the difference between 17 and 2/3.

step 2 Compare the denominators of fractions 17 and 2/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 17 and 2/3 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 17 and 2/3:
The LCM of 1 and 3 is 3.

step 4 Write the fractions 17 and 2/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 17 - 2/3
= [(17 x 3)/(1 x 3)] - [(2 x 3)/(3 x 3)]

step 5 Simplify the expression to have common denominator:
= 51/3 - 2/3

step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (51/1 - 2/1)
= 1/3 x (51 - 2)

step 7Simplify the above expression further:
= 1/3 x 49
= 49/3
17 - 2/3 = 49/3

Hence,
17 minus 2/3 as a fraction is 49/3.

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17 - 2/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 17/1
Fraction B: 2/3

What to be found?
(17)-(2/3) = ?
Find what's the difference between 17 and 2/3.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (17 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 3) and rewrite the equation as like the below:
= (17 x 3) - (2 x 1)/(1 x 3)

step 3 Simplify and rewrite the fraction:
= (51 - 2)/3
17 - 2/3 = 49/3

Hence,
17 minus 2/3 in fraction is 49/3